Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
6th Edition
ISBN: 9780321914620
Author: Jeffrey O. Bennett, William L. Briggs
Publisher: PEARSON
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Chapter 8.D, Problem 8E
The lake water was crystal clear, so It could not possibly have been affected by acid rain.
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Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over their lifetimes. The concentration of mercury in fish tissue can be obtained by catching fish and sending samples to a lab for analysis. A study was conducted on fish from the Waccamaw and Lumber Rivers to investigate mercury levels in tissues of largemouth bass. At several stations along each river a group of fish were caught, weighed and measured; in addition a filet from each fish was sent to a lab so that the tissue concentration of mercury could be determined. In all, 171 fish were caught at 15 different research stations along the Waccamaw and Lumber Rivers. Data from fish caught at one of these stations is shown in the following table:
length
weight
1616
47.0
1862
48.7
2855
55.7
1199
45.2
1320
44.7
1225
43.8
870
38.5
1455
45.8
1220
44.0
1033
40.4
Compute the correlation between length and weight for these fish. (Assume the correlation conditions have been…
Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over
their lifetimes. The concentration of mercury in fish tissue can be obtained by catching fish and
sending samples to a lab for analysis. A study was conducted on fish from the Waccamaw and
Lumber Rivers to investigate mercury levels in tissues of largemouth bass. At several stations along
each river a group of fish were caught, weighed and measured; in addition a filet from each fish was
sent to a lab so that the tissue concentration of mercury could be determined. In all, 171 fish were
caught at 15 different research stations along the Waccamaw and Lumber Rivers. Data from fish
caught at one of these stations is shown in the followinng table:
length
weight
1616
47.0
48.7
1862
2855
55.7
45.2
1199
1320
44.7
1225
43.8
870
38.5
1455
45.8
1220
44.0
1033
40.4
Compute the correlation between length and weight for these fish. (Assume the correlation
conditions have been satisfied and round your…
Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over their lifetimes. The concentration of mercury in fish tissue can be obtained by catching fish and sending samples to a lab for analysis. A study was conducted on fish from the Waccamaw and Lumber Rivers to investigate mercury levels in tissues of largemouth bass. At several stations along each river a group of fish were caught, weighed and measured; in addition a filet from each fish was sent to a lab so that the tissue concentration of mercury could be determined. In all, 171 fish were caught at 15 different research stations along the Waccamaw and Lumber Rivers. Data from fish caught at one of these stations is shown in the following table:
length
weight
1616
47.0
1862
48.7
2855
55.7
1199
45.2
1320
44.7
1225
43.8
870
38.5
1455
45.8
1220
44.0
1033
40.4
Compute the correlation between length and weight for these fish. (Assume the correlation conditions have been…
Chapter 8 Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Ch. 8.A - Prob. 1QQCh. 8.A - Prob. 2QQCh. 8.A - The balance owed your credit card doubles from...Ch. 8.A - The number Of songs in your iPod has increased...Ch. 8.A - Which of the following is in example of...Ch. 8.A - On a chessboard with 64 squares, you place 1 penny...Ch. 8.A - At 11:00 you place a single bacterium in a bottle,...Ch. 8.A - Consider the bacterial population described in...Ch. 8.A - Consider the bacterial population described in...Ch. 8.A - Which of the following is not true of any...
Ch. 8.A - Describe basic differences between linear growth...Ch. 8.A - 2. Briefly explain how repeated doublings...Ch. 8.A - Briefly summarize the Story Of the bacteria in the...Ch. 8.A - Explain the meaning Of the two key facts about...Ch. 8.A - Prob. 5ECh. 8.A - Suppose you had a magic hank account in which your...Ch. 8.A - A small town that grows exponentially can become a...Ch. 8.A - H. Human population has been growing exponentially...Ch. 8.A - Prob. 9ECh. 8.A - Prob. 10ECh. 8.A - Prob. 11ECh. 8.A - Prob. 12ECh. 8.A - Prob. 13ECh. 8.A - Prob. 14ECh. 8.A - Linear or Exponential? State whether the growth...Ch. 8.A - Prob. 16ECh. 8.A - Chessboard Parable. Use the chessboard parable...Ch. 8.A - Chessboard Parable. Use the chessboard parable...Ch. 8.A - Chessboard Parable. Use the chessboard parable...Ch. 8.A - Prob. 20ECh. 8.A - Magic Penny Parable. Use the magic penny parable...Ch. 8.A - Prob. 22ECh. 8.A - Magic Penny Parable. Use the magic penny parable...Ch. 8.A - Magic Penny Parable. Use the magic penny parable...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - 29. Human Doubling. Human population in the year...Ch. 8.A - Doubling Time versus Initial Amount. a. Would you...Ch. 8.A - Facebook Users. The table shows the number of...Ch. 8.A - Prob. 32ECh. 8.A - Exponential Growth. Identify at least two news...Ch. 8.A - Prob. 34ECh. 8.A - Prob. 35ECh. 8.B - Prob. 1QQCh. 8.B - Prob. 2QQCh. 8.B - Which of the following is not a good approximation...Ch. 8.B - Prob. 4QQCh. 8.B - Radioactive tritium (hvdrogen-3) has a halt-life...Ch. 8.B - Radioactive uramum-235 has a hall-life of about...Ch. 8.B - Prob. 7QQCh. 8.B - log10108= a.100,000,000 b. 108 c.8Ch. 8.B - A rural popular ion decreases at a rate of 20% per...Ch. 8.B - Prob. 10QQCh. 8.B - What is a doubling tune? Suppose a population has...Ch. 8.B - Prob. 2ECh. 8.B - State the approximate doubting time formula and...Ch. 8.B - Prob. 4ECh. 8.B - Prob. 5ECh. 8.B - 6. State the approximate hall-life formula and the...Ch. 8.B - 7. Briefly describe exact doubling time and...Ch. 8.B - 8. Give an example in which it is important to use...Ch. 8.B - Our town is growing with a doubling time of 25...Ch. 8.B - Our town is growing at a rate of 7% per year, so...Ch. 8.B - A toxic chemical decays with a hall-life of 10...Ch. 8.B - The hall-life of plutomum-239 is about 24,000...Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - Prob. 15ECh. 8.B - Prob. 16ECh. 8.B - 13-24: Logarithms. Refer to the Brief Review on p....Ch. 8.B - Prob. 18ECh. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - 13-24: Logarithms. Refer to the Brief Review on p....Ch. 8.B - Prob. 22ECh. 8.B - Prob. 23ECh. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - Prob. 25ECh. 8.B - Prob. 26ECh. 8.B - Prob. 27ECh. 8.B - Prob. 28ECh. 8.B - Prob. 29ECh. 8.B - Prob. 30ECh. 8.B - Prob. 31ECh. 8.B - Prob. 32ECh. 8.B - Prob. 33ECh. 8.B - Prob. 34ECh. 8.B - 31. Rabbits. A community of rabbits begins with an...Ch. 8.B - Prob. 36ECh. 8.B - Doubling Time Formula. Use the approximate...Ch. 8.B - Prob. 38ECh. 8.B - Prob. 39ECh. 8.B - Prob. 40ECh. 8.B - Prob. 41ECh. 8.B - Prob. 42ECh. 8.B - Prob. 43ECh. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - Prob. 45ECh. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - Prob. 47ECh. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - Prob. 49ECh. 8.B - 49-52: Half-Life Formula. Use the approximate...Ch. 8.B - Prob. 51ECh. 8.B - 49-52: Half-Life Formula. Use the approximate...Ch. 8.B - Prob. 53ECh. 8.B - Exact Formulas. Compare the doubling times found...Ch. 8.B - Prob. 55ECh. 8.B - Exact Formulas. Compare the doubling times found...Ch. 8.B - Prob. 57ECh. 8.B - 58. Nuclear Weapons. Thermonuclear weapons use...Ch. 8.B - Fossil Fuel Emissions. Total emissions of carbon...Ch. 8.B - Yucca Mountain. The U.S. government spent nearly...Ch. 8.B - Crime Rate. The homicide rate decreases at a rate...Ch. 8.B - 62. Drug Metabolism. A particular antibiotic is...Ch. 8.B - Atmospheric Pressure. The pressure of Earth's...Ch. 8.B - Prob. 64ECh. 8.B - 65. Radioactive Half-Life. Find a news story that...Ch. 8.B - Prob. 66ECh. 8.B - Prob. 67ECh. 8.B - Prob. 68ECh. 8.B - Prob. 69ECh. 8.C - Prob. 1QQCh. 8.C - Prob. 2QQCh. 8.C - The primary reason for the rapid growth of human...Ch. 8.C - The carrying capacity of the Earth is defined as...Ch. 8.C - Which of the billowing would cause estimates of...Ch. 8.C - 6. Recall the bacteria in a bottle example from...Ch. 8.C - When researchers project that human population...Ch. 8.C - Prob. 8QQCh. 8.C - Prob. 9QQCh. 8.C - Prob. 10QQCh. 8.C - Based on Figure 8.3, contrast the changes in human...Ch. 8.C - Prob. 2ECh. 8.C - Haw do today’s birth and death rates compare to...Ch. 8.C - Prob. 4ECh. 8.C - Prob. 5ECh. 8.C - What is overshot and collapse? Under what...Ch. 8.C - Prob. 7ECh. 8.C - 8. If birth rates fall more than death rates, the...Ch. 8.C - The carrying capacity of our planet depends only...Ch. 8.C - to rapid increases in computing technology, we...Ch. 8.C - In the wild, we always expect the population of...Ch. 8.C - Prob. 12ECh. 8.C - Prob. 13ECh. 8.C - Varying Growth Rates. Starting from a 2013...Ch. 8.C - Prob. 15ECh. 8.C - 13-16: Varying Growth Rates. Starting from a 2013...Ch. 8.C - Birth and Death Rates. The following table gives...Ch. 8.C - Prob. 18ECh. 8.C - Prob. 19ECh. 8.C - Prob. 20ECh. 8.C - 21. Logistic Growth. Consider a population that...Ch. 8.C - Logistic Growth. Consider a population that begins...Ch. 8.C - Prob. 23ECh. 8.C - Prob. 24ECh. 8.C - Prob. 25ECh. 8.C - Prob. 26ECh. 8.C - Prob. 27ECh. 8.C - Prob. 28ECh. 8.C - Prob. 29ECh. 8.C - Prob. 30ECh. 8.C - Prob. 31ECh. 8.C - Prob. 32ECh. 8.C - Prob. 33ECh. 8.C - Prob. 34.0ECh. 8.C - Prob. 34.1ECh. 8.C - Population Predictions. Find population...Ch. 8.C - Prob. 36ECh. 8.C - Prob. 37ECh. 8.C - Prob. 38ECh. 8.C - Prob. 39ECh. 8.D - The energy release of a magnitude 7 earthquake is...Ch. 8.D - Prob. 2QQCh. 8.D - 3. What is a 0-decibel sound?
the softest sound...Ch. 8.D - Prob. 4QQCh. 8.D - Prob. 5QQCh. 8.D - Prob. 6QQCh. 8.D - Prob. 7QQCh. 8.D - Prob. 8QQCh. 8.D - Prob. 9QQCh. 8.D - Prob. 10QQCh. 8.D - What is the magnitude scale for earthquakes? What...Ch. 8.D - What is the decibel scale? Describe how it is...Ch. 8.D - What is pH? What pH values define an acid, a base,...Ch. 8.D - What is acid rain? Why is it a serious...Ch. 8.D - 5. An earthquake of magnitude 8 will do twice as...Ch. 8.D - A 120-dB wand is 20% louder than a 100-dB sound.Ch. 8.D - If I double the amount of water in the cup, I'll...Ch. 8.D - The lake water was crystal clear, so It could not...Ch. 8.D - Earthquake Magnitudes. Use the earthquake...Ch. 8.D - Prob. 10ECh. 8.D - Prob. 11ECh. 8.D - Earthquake Magnitudes. Use the earthquake...Ch. 8.D - Earthquake Magnitudes. Use the earthquake...Ch. 8.D - 9-14: Earthquake Magnitudes. Use the earthquake...Ch. 8.D - The Decibel Scale. Use the decibel scale to answer...Ch. 8.D - The Decibel Scale. Use the decibel scale to answer...Ch. 8.D - The Decibel Scale. Use the decibel scale to answer...Ch. 8.D - The Decibel Scale. Use the decibel scale to answer...Ch. 8.D - The Decibel Scale. Use the decibel scale to answer...Ch. 8.D - Prob. 20ECh. 8.D - Inverse Square Law. Use the inverse square law for...Ch. 8.D - Prob. 22ECh. 8.D - Inverse Square Law. Use the inverse square law for...Ch. 8.D - Inverse Square Law. Use the inverse square law for...Ch. 8.D - The pH scale. Use the pH scale to answer the...Ch. 8.D - The pH Scale. Use the pH scale to answer the...Ch. 8.D - Prob. 27ECh. 8.D - Prob. 28ECh. 8.D - Prob. 29ECh. 8.D - Prob. 30ECh. 8.D - The pH Scale. Use the pH scale to answer the...Ch. 8.D - 25-32: The pH Scale. Use the pH scale to answer...Ch. 8.D - Logarithmic Thinking. Briefly describe, in words,...Ch. 8.D - 33-38: Logarithmic Thinking. Briefly describe, in...Ch. 8.D - Logarithmic Thinking. Briefly describe, in words,...Ch. 8.D - Logarithmic Thinking. Briefly describe, in words,...Ch. 8.D - Prob. 37ECh. 8.D - Prob. 38ECh. 8.D - 39. Sound and Distance.
The decibel level for...Ch. 8.D - 40. Variation in Sound with Distance. Suppose that...Ch. 8.D - Toxic Dumping in Acidified Lakes. Consider a...Ch. 8.D - Earthquakes in the News. Find a recent news story...Ch. 8.D - Prob. 43ECh. 8.D - Disasters. Find the death lolls for some of the...Ch. 8.D - Prob. 45E
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- You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here).The company that produces cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 5 6 7 8 9 10 Milliliters 343 345 349 360 349 358 346 357 351 347 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 344 341 358 346 346 350 347 341 353 352 a) Use the data shown above to construct a 96% confidence interval…arrow_forwardThe National Hurricane Center said it's monitoring a weather system (Hurricane Irma), which is currently producing showers and thunderstorms in the southwestern Gulf of Mexico. Residents along the Gulf and East coasts of the U.S. need to be on alert. As shown in the figure, the exact path of Irma remains uncertain and will depend on a variety of moving parts in the atmosphere. In the first scenario (scenario A), Irma will blast the northern Caribbean with flooding rain, damaging winds and rough surf this week, bringing life-threatening conditions to the islands. According to the forest, the probability that scenario A occurs is P(A)=0.4. A similar scenario (scenario B) could play out somewhere along the Gulf or East coasts this weekend or next week. According to the forest, the probability that scenario B occurs is P(B)=0.45. Another scenario (scenario C) still on the table is that Irma curves northward and misses the East Coast entirely. However, this scenario is the least likely to…arrow_forwardYou work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here). The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number Milliliters Bottle Number Milliliters 1 2 3 4 5 6 7 8 9 344 359 345 357 349 345 359 355 354 10 345 17 18 19 20 11 12 13 14 15 16 355 353 360 344 355 342 353 354 350 346 a) Use the data shown above to construct a 92% confidence interval estimate for the…arrow_forward
- You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here).The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 5 6 7 8 9 10 Milliliters 352 345 343 350 340 351 347 354 351 348 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 359 347 352 347 356 355 356 342 355 344 a) Use the data shown above to construct a 96% confidence interval…arrow_forwardYou work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here ). The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 3 4 7 8 9. 10 Milliliters 341 357 341 357 356 359 347 343 360 346 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 358 352 344 360 346 347 360 342 341 349 a) Use the data shown above to construct a 97% confidence interval estimate for the…arrow_forwardChlorine is often added to swimming pools to control microorganisms. If the level of chlorine rises above 3 ppm (parts per million), swimmers will experience burning eyes and skin discomfort. If the level drops below 1 ppm, there is a possibility that the water will turn green because of a large algae count. Chlorine must be added to pool water at regular intervals. If no chlorine is added to a pool during a 24-hour period, approximately 20% of the chlorine will dissipate into the atmosphere and 80% will remain in the water. (a) Determine a recursive sequence an that expresses the amount of chlorine present after n days if the pool has a0 ppm of chlorine initially and no chlorine is added. (b) If a pool has 7 ppm of chlorine initially, construct a table to determine the first day on which the chlorine level will drop below 3 ppm.arrow_forward
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